Application of Integrals
Let g(x)=cosx2,f(x)=x and α,β(α<β) be the roots of equation
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The area between x=y2and x=4 is divided into two equal parts by the line x=a, find the value of a.
Find the area bounded by the curve y=(x−1)(x−2)(x−3)
lying between the ordinates x=0andx=3.
Find the area of the smaller region bounded by the ellipse 9x2+4y2=1 and the line 3x+2y=1
Find the area of the region bounded by the curve (y−1)2=4(x+1) and the line y=x−1.
The area bounded by the y-axis, y=cosxand y=s∈xwhen 0≤x≤2πis(A) 2(2−1) (B) 2−1 (C) 2+1 (D) 2
Find the area of the region bounded by x2=16y, y=1, y=4
and the y-axis in the first quadrant.
Area lying between the curves y2=4xand y=2xis(A) 32 (B) 31 (C) 41 (D) 43
Find the area enclosed by the curve x=3cost,y=2sint